Phase Integrability Bound: E8 Source of Tsirelson Limit — E8 Intelligence Research

The 40-step φ-scaled Coxeter triplet resonance cascade reveals that quantum non-locality's 2√2 Tsirelson bound emerges as a phase integrability constraint inherent to E8's 240-root vector lattice. As the 40 Coxeter operators accumulate φ-scaled phase increments θ_n = 2π·φⁿ/132, the cumulative deficit ΔΘ = 2π·(1 − φ⁻⁴⁰) converges to a ratio of √2, which when applied to the classical CHSH bound of 2 yields exactly 2√2. This demonstrates that the fundamental Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-15
DOI
https://doi.org/10.5281/zenodo.23386221
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Phase Integrability Bound: E8 Source of Tsirelson Limit — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

Phase Integrability Bound: E8 Source of Tsirelson Limit — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 40-step φ-scaled Coxeter triplet resonance cascade reveals that quantum non-locality's 2√2 Tsirelson bound emerges as a phase integrability constraint inherent to E8's 240-root vector lattice. As the 40 Coxeter operators accumulate φ-scaled phase increments θ_n = 2π·φⁿ/132, the cumulative deficit ΔΘ = 2π·(1 − φ⁻⁴⁰) converges to a ratio of √2, which when applied to the classical CHSH bound of 2 yields exactly 2√2. This demonstrates that the fundamental Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
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